請問2^2X-3=3x2^X-16 X=?

2018-12-03 9:41 pm

回答 (1)

2018-12-03 10:17 pm
✔ 最佳答案
2^(2x-3)=3*2^x-16,x=?
Sol
Set y=2^x
y^2=2^(2x)
2^(2x-3)=3*2^x-16
y^2/8=3y-16
y^2=24y-128
y^2-24y+128=0
(y-8)(y-16)=0
y=8 or y=16
2^x=8 or 2^x=16
x=3 or x=4


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